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Modules in which every surjective endomorphism has a \(\delta\)-small kernel
In this paper, we introduce the notion of \(\delta\)-Hopfian modules. We give some properties of these modules and provide a~characterization of semisimple rings in terms of \(\delta\)-Hopfian modules by proving that a ring \(R\) is semisimple if and only if every \(R\)-module is \(\delta\)-Hopf...
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Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Lugansk National Taras Shevchenko University
2019
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Subjects: | |
Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/365 |
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